'GMA' Hosts Amy Robach and Lara Spencer -- We Love Each Other So Much ... We Can't Stand It!

EXCLUSIVE

"Good Morning America" anchors Lara Spencer and Amy Robach love each other so much, they can't keep their hands off each other ... or so they say.

We got Amy and Lara leaving lunch in NYC Saturday and they poo poo'ed our story that they hate each other , even suggesting sexism.

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TMZ reported ... multiple sources connected with GMA say the women despise each other. Nevertheless, Lara and Amy insist -- REALLY INSIST -- that they're the bust of buds.

So, we gotta ask ...